Python Program to Print Prime Numbers In a Given Range

June 29, 2023

Find the Prime Numbers in a Given Range in Python

Find the Prime Numbers in a Given Range in Python

Given two integer as Limits, low and high, the objective is to write a code to in Python Find Prime Numbers in a Given Range in Python Language. To do so we’ll use nested loops to check for the Prime while Iterating through the range. 
Example
Input : low = 2 , high = 10
Output : 2 3 5 7

Find the Prime Numbers in a Given Interval in Python

Given two integer variables for range, the objective is to check for all the prime number that lay in the given interval. The two input integers will act as the interval limits low and high. In order to check which iterating, we’ll use nested loops. The outer loop will iterate through the numbers while the inner loop will check for Prime. Here are some of the methods used to solve the above mentioned problem in python language

We’ll discuss the above mentioned methods in the upcoming sections below. Check out Python Program to check for Prime. Check out the definition in the blue box below.

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Prime Number

Sum of Digits of a number

Reverse of a number

Palindrome number

Method 1: Using inner loop Range as [2, number-1]

Working

For two integer inputs as low and high limits of the interval,

  • Run a for loop to iterate through all the numbers.
  • Run a Nested for loop to check for prime or not.

Let’s implement the above logic in Python Language. Lets see the implementation now for python program to find prime numbers in range

Python Code

Run 
# python find prime numbers in range 
low, high = 2, 10
primes = []

for i in range(low, high + 1):
    flag = 0

    if i < 2:
        continue
    if i == 2:
        primes.append(2)
        continue

    for x in range(2, i):
        if i % x == 0:
            flag = 1
            break

    if flag == 0:
        primes.append(i)
        
print(primes)

Output

[2, 3, 5, 7]

Method 2: Using inner loop Range as [2, number/2]

Working

For two integer inputs as limits, we perform the following main operations,

  • Run a for loop to iterate through the numbers in a given interval.
  • Run a nested while to check for prime by checking if the number has any other factors in the range [2, number/2].

Let’s implement the above logic in Python Language.

Python Code

Run 
low, high = 2, 10
primes = [2]

for num in range(low, high + 1):
    flag = 0
    if num < 2:
        flag = 1
        
    if num % 2 == 0:
        continue
    iter = 2

    while iter < int(num / 2):
        if num % iter == 0:
            flag = 1
            break
        iter += 1

    if flag == 0:
        primes.append(num)

print(primes)

Output

[2, 3, 5, 7]

Method 3: Using inner loop Range as [2, sqrt(number)]

Working

For two integer inputs as low and high limits of the interval, we perform the following

  • Run a for loop to iterate through the number in the given interval.
  • Run a nested while loop to check for prime or not.
  • We do so by checking if the number has any factors in the range [2, sqrt(number)].

Let’s implement the above logic in Python Language.

Python Code

Run 
low, high = 2, 10
primes = [2, 3]

for num in range(low, high + 1):
    flag = 0
    
    if num < 2:
        flag = 1
        
    if num % 2 == 0:
        continue
        
    if num % 3 == 0:
        continue
        
    iter = 2
    while iter < int(pow(num, 0.5)):
        if num % iter == 0:
            flag = 1
            break
        iter += 1
        
    if flag == 0:
        primes.append(num)

print(primes)

Output

[2, 3, 5, 7]

Method 4: Using inner loop Range as [3, sqrt(number), 2]

Working

This method is similar to the one above but here we’ll use 2 as a step to skip the even numbers.

For a given interval as [low, high], we do the following

  • Run a for loop to iterate through the numbers that lay in the input interval.
  • Run a nest while eith step size as 2 from 3 to the square root of number and check for factors of the number in that interval.

Let’s implement the above logic in Python Language.

Python Code

Run 
low, high = 2, 10
primes = [2, 3]

for num in range(low, high + 1):
    flag = 0
    if num < 2:
        flag = 1

    if num % 2 == 0:
        continue
        
    if num % 3 == 0:
        continue

    iter = 3

    while iter < int(pow(num, 0.5)):
        if num % iter == 0:
            flag = 1
            break
        iter += 2

    if flag == 0:
        primes.append(num)

print(primes)

Output

[2, 3, 5, 7]

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23 comments on “Python Program to Print Prime Numbers In a Given Range”


  • Abhishek

    n1 = int(input())
    n2 = int(input())
    for num in range(n1,n2+1):
    if num>1:
    for i in range(2,num):
    if num%i==0:
    break
    else:
    print(num)
    #code by abhishek patil


  • KONGARI

    n=int(input())
    if(n==1):
    print(‘it is neither prime nor composite’)
    for i in range(2,n):
    if(n%i==0):
    print(“it is a composite”)
    break
    if((i+1)==n and n%(i+1)==0):
    print(‘it is a prime number’)


  • vyshnavi talla

    This is the correct code:
    first = int(input(“Enter the first number:”))
    second = int(input(“Enter the Second Number:”))
    for i in range(first, second+1):
    for j in range(2, (i//2)+1):
    if i % j == 0:
    break
    else:
    print(“Prime Number”, i)


  • Krishna

    a=[1]
    b=[1]
    m=int(input(“Enter the lower interval: “))
    n=int(input(“Enter the higher interval: “))
    x=m
    while m<=x<=n:
    a.append(x)
    k=2
    while k<x:
    c=x%k
    if c==0:
    b.append(x)
    k=k+1
    x=x+1
    a=set(a)
    b=set(b)
    prime=a^b
    prime=list(prime)
    print(prime)

    This maynot be the correct way to find the prime numbers. However this code also gives you the list of prime numbers.


  • Kaustab

    Best and simple way to solve this problem and printing the result in a single line within a list.
    Program Code:
    a = []
    n1 = int(input(“enter 1st number: “))
    n2 = int(input(“enter 2nd number: “))
    for i in range(n1,n2):
    for j in range(2,i-1):
    if i%j==0:
    break
    else:
    a.append(i)
    print(“Prime numbers are: “,a)

    Output:
    enter 1st number: 21
    enter 2nd number: 45
    Prime numbers are: [23, 29, 31, 37, 41, 43]


  • Nithin

    n1 = int(input(“Enter the first number:”))
    n2 = int(input(“Enter the Second Number:”))
    for i in range(n1, n2):
    for j in range(2, i):
    if i % j == 0:
    break
    else:
    print(“Prime Number”, i)


  • gaurav

    def prime(n):
    i = 2
    while i < n:
    if (n%i) == 0:
    return 0
    i+= 1
    return 1

    a = int(input("a: "))
    b = int(input("b: "))
    c = min([a,b])
    d = max([a,b])
    e = []
    for i in range(c,d+1):
    if prime(i) == 1:
    e.append(i)
    print("prime numbers: " + str(e))


  • Aruna

    first = int(input(“Enter the first number:”))
    second = int(input(“Enter the Second Number:”))
    for i in range(first, second+1):
    for j in range(2, i):
    if i % j == 0:
    break
    else:
    print(“Prime Number”, i)


  • Jeegisha.

    Above code will give error since range() does not accept decimal numbers it is used only for integers:
    So the code will be :
    l=int(input(“Enter lower limit”))
    u=int(input(“Enter upper limit”))
    for i in range(l,u+1):
    flag=0
    mid=i//2
    for j in range(2,mid+1):
    if(i%j==0):
    flag=1
    break
    if(flag==0):
    print(i)


  • Rahul

    Above mentioned program gives wrong output
    The Correct Code is:
    f=int(input())
    s=int(input())
    for i in range(f,s):
    for j in range(2,i):
    if i%j == 0:
    break
    else:
    print(“Prime Number”, i)


    • EPSITA

      f=int(input(“Enter starting point: “))
      l=int(input(“Enter ending point: “))
      arr=[]
      for i in range(f,l):
      for j in range(2,i//2):
      if i%j==0:
      break
      else:
      arr.append(i)
      print(“prime numbers are: “,arr)


  • Nikitha

    lower = int(input(“Enter the lower interval:”))
    upper = int(input(“Enter the upper interval:”))
    for num in range(lower,upper):
    num>1
    for i in range(2, num):
    if num % i == 0:
    break
    else:
    print(“Prime Number”, num)


    • Nikitha

      PrimeList=[ ]
      lower = int(input(“Enter the lower interval:”))
      upper = int(input(“Enter the upper interval:”))
      for num in range(lower,upper):
      for i in range(2, num):
      if num % i == 0:
      break
      else:
      PrimeList.append(num)
      print(“Prime Number”, PrimeList)


      • Nikitha

        #modified one, eliminates empty list and negative numbers
        PrimeList=[ ]
        lower = int(input(“Enter the lower interval:”))
        upper = int(input(“Enter the upper interval:”))
        if lower0:
        print(“Prime Numbers:”, PrimeList)
        else:
        print(“No Prime numbers within the range”)


  • Shubham

    This program provides the wrong output, The number 4 is not a prime number because it can be divided evenly by 4, 2, and 1.
    Enter the first number:1
    Enter the Second Number:25
    Prime Number 1
    Prime Number 2
    Prime Number 3
    Prime Number 4
    Prime Number 5
    Prime Number 7
    Prime Number 11
    Prime Number 13
    Prime Number 17
    Prime Number 19
    Prime Number 23

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